Hypergeometric functions are at the heart of many analytical and applied mathematical investigations. These functions, generally defined via power series that extend the geometric series, have been ...

Hypergeometric functions occupy a central role in mathematical analysis by encapsulating a diverse class of series that extend many classical functions. Equally, identities involving harmonic numbers ...

In this paper, an identity is proved in which certain generalized hypergeometric functions $_{NP}F_{NQ + N - 1}$ are expressed as a linear combination of $N ...

Proceedings of the American Mathematical Society, Vol. 25, No. 2 (Jun., 1970), pp. 405-412 (8 pages) A new class of generating functions for generalized hypergeometric polynomials is obtained.